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Finding the Fourth Proportional to 492,894.28, 680,194.16 and 266,539.78

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Solution

The fourth proportional to 492,894.28, 680,194.16 and 266,539.78 is: 367,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,894.28 : 680,194.16 = 266,539.78 : x
  2. Step 2: Convert to fraction form
    492,894.28/680,194.16 = 266,539.78/x
  3. Step 3: Cross multiply
    492,894.28x = 680,194.16 × 266,539.78
  4. Step 4: Simplify right side
    492,894.28x = 181,298,802,280.75
  5. Step 5: Solve for x
    x = 181,298,802,280.75/492,894.28
  6. Step 6: Final answer
    x = 367,824.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.